wedrifid comments on Advancing Certainty - Less Wrong

34 Post author: komponisto 18 January 2010 09:51AM

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Comment author: ciphergoth 18 January 2010 07:51:00PM 2 points [-]

As in the LHC example, the criterion is making a million statements with independent reasoning behind each. Predicting a non-win in a million independent lotteries isn't what ciphergoth was thinking, so much as making a million predictions in widely different areas, each of which you (or I) estimate has probability less than 10^-8.

I'm not sure this properly represents what I was thinking. We all agree that any decision procedure that leads you to play the lottery is flawed. But the "million equivalent statement" test seems to indicate that you can't have sufficient confidence of not winning not to play given the payoffs. If you insist on independent reasoning, passing the million-statement test is even harder, and justifying not playing is therefore harder. It's a kind of real-life Pascal's mugging.

I don't have a solution to Pascal's mugging, but for the lottery, I'm inclined to think that I really can have 10^-8 confidence of not winning, that the flaw is with the million-statement test, and it's simply that there aren't a million disparate situations where you can have this kind of confidence, though there certainly are a million broadly similar situations in the reference class "we are actually in a strong position to calculate high-quality odds on this coming to pass".

Comment author: wedrifid 18 January 2010 09:45:57PM 2 points [-]

We all agree that any decision procedure that leads you to play the lottery is flawed.

I don't.

Comment author: Blueberry 18 January 2010 10:17:07PM 2 points [-]

Can you please explain that further? Why not? Do you just mean that the pleasure of buying the ticket could be worth a dollar, even though you know you won't win?

Comment author: wedrifid 19 January 2010 12:13:59AM 1 point [-]

Just reasoning based on a non linear relationship between money and utility.

Comment author: Blueberry 19 January 2010 03:16:55AM 0 points [-]

Winning ten million dollars provides less than ten million times the utility of winning one dollar, because the richer you are, the less difference each additional dollar makes. That seems to argue against playing the lottery, though.

Comment author: wedrifid 19 January 2010 03:19:12AM *  3 points [-]

$5,000,000 debt. Bankruptcy laws.

Comment author: Blueberry 21 January 2010 06:35:33PM 1 point [-]

Very clever! You're right; that is a situation where you might as well play the lottery.

This actually comes up in business, in terms of the types of investments that businesses make when they have a good chance of going bankrupt. They may not play the lottery, but they're likely to make riskier moves since they have very little to lose and a lot to gain.

Comment author: wedrifid 21 January 2010 11:05:32PM 1 point [-]

They may not play the lottery, but they're likely to make riskier moves since they have very little to lose and a lot to gain.

It also applies if you believe your company will be bailed out by the government. I don't tend to approve of bank bailouts for this reason. (Although government guarantees for deposits I place in a different category.)